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arxiv: 2401.16904 · v2 · pith:WF52DVYX · submitted 2024-01-30 · hep-ph

A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices

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keywords anomalousdeltadimensionmatricesmethodtwo-loopallowsapproach
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A novel method to treat effects from evanescent operators in next-to-leading order (NLO) computations is introduced. The approach allows, besides further simplifications, to discard evanescent-to-physical mixing contributions in NLO calculations. The method is independent of the treatments of $\gamma_5$ and can therefore be combined with different renormalization schemes. We illustrate the utility of this result by reproducing literature results of two-loop anomalous dimension matrices for both $|\Delta F| = 1$ and $|\Delta F| = 2$ transitions.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR

    hep-ph 2025-01 unverdicted novelty 7.0

    Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.